Determina la pendiente y el ángulo de la recta tangente a la función f(x)=x2-8x+16 en el punto a(6,4)

Answers

Answer 1

Answer:

[tex]4[/tex]

[tex]75.96^{\circ}[/tex]

Step-by-step explanation:

La función es

[tex]f(x)=x^2-8x+16[/tex]

La derivada de la ecuación nos da la tangente

[tex]f'(x)=2x-8[/tex]

El punto es [tex](6,4)[/tex]

Entonces en [tex]x=6[/tex]

[tex]f'(6)=2\times 6-8=4[/tex]

La pendiente de la tangente es [tex]4[/tex].

El ángulo de la pendiente está dado por

[tex]\tan\theta=m\\\Rightarrow \theta=\tan{-1}m\\\Rightarrow \theta=\tan^{-1}4\\\Rightarrow \theta=75.96^{\circ}[/tex]

El ángulo que forma la tangente con el eje x positivo es [tex]75.96^{\circ}[/tex]


Related Questions

what is the length of AC

Answers

Answer:

12 units

Step-by-step explanation:

[tex]\sin 30\degree = \frac{AC}{BC} \\ \\ \frac{1}{2} = \frac{AC}{24} \\ \\ 2AC = 24 \\ \\ AC = \frac{24}{2} \\ \\ AC = 12 \: units[/tex]

at school, 460 of the students walk to school.

The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?

Answers

Answer:

460/100 X 5 = 23

23 bike to school xx

HELP ME PLEASE NEED HELP

Answers

Answer:

y = -3x - 6

Step-by-step explanation:

What is the value of c in the equation below?

2 Superscript negative 4 Baseline times 2 squared = a Superscript b Baseline = c

Answers

Answer:  

c

Step-by-step explanation:  

Answer:

1/4

Step-by-step explanation:

6th grade math !!!!!!!!!!!!!!!!

Answers

Answer:

4th one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The price of a notebook was $3.60 yesterday. Today, the price fell to $3.10. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

13.9%

Step-by-step explanation:

First, we find the amount of decrease.

$3.60 - $3.10 = $0.50

The price decreased $0.50.

Now we find what percent $0.50 is of $3.60.

percent = part/whole * 100%

percent = $0.50/$3.60 * 100%

percent = 0.13888 * 100% = 13.9%

Answer: 13.9%

Which value of v makes 12 = 12 +
V – 8
a true statement?
2
Choose 1 answer:
А
v=8
B
v= 10
v= 12
D
v= 14

Answers

The answer would be A. I gochu homie

Someone plz help me this is urgent!

Answers

Answer:

5^12

Step-by-step explanation:

When you have a power to the power, you multiply the powers. Since we have (5^3)^4, we can multiply the powers because we have a power to the power. Since 3 * 4 is equal to 12, we have 5^12. That means that 5^12 is the answer.

Answer:

1250

Step-by-step explanation:

5 times 5 times 5

Can someone please help me out

Answers

A= 3,2
B= -1,-1
C= 3,4
D= 1,4

A bug crawls at a rate of 2 feet per minute. How long will it take the bug to crawl 24 feet? *

48 minutes
12 minutes
1 hour
16 minus

Answers

12 minutes. 24 divided by 2 is 12.
12 mintues, because 24 divided by 2 = 12

Millie expected 20 friends to show up to her birthday party, but 24 attended. What was
her percent error? Round to the nearest percent.

Answers

Answer:

Her percent error was: ≈ 17% (whole percent)

Step-by-step explanation:

Given

Approximate value = 20 friends

Exact Value = 24 friends

To determine

Percent error

Using the formula to calculate the Percent error

Percent error = | Approximate Value| - Exact Value | / | Exact value | × 100

                       = | 20 - 24 | / | 24 | × 100

                       = | - 4 | / | 24 | × 100

Apply absolute value: |-a| = a,   a>0

                       = 4/24 × 100

                       = 16.67 %

                       ≈ 17% (whole percent)

Thus, her percent error was: ≈ 17% (whole percent)

The scale of a map is 2 cm:15 kom. Find the actual distance for each map distance.
1. 6cm 2.5 cm 3. 13.2 cm

Answers

Answer: 6 cm is 45 km

5 cm is 7.5 km

Step-by-step explanation:

How are angle 4 and angle 5 related?

Answers

they are supplementary angles

Answer:

C supplementary angles

Step-by-step explanation:

Reason: They Both Add Up To 180 Degrees

At an art auction, Geannina's painting sold for over $ 300 $300dollar sign, 300. Write an inequality that describes P PP, the price of Geannina's painting in do

Answers

Answer:

[tex]P > 300[/tex]

Step-by-step explanation:

Given

An art sold for over $300

Required

Represent as an inequality

Represent the price with p.

This implies that; P is over 300

In inequalities; the term "over" means greater than i.e. >

Hence:

P is over 300 is equivalent to [tex]P > 300[/tex]

What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
20
35
A-
C
What is the measure of x?

Answers

Answer:

x = 145

Step-by-step explanation:

x and 35 are adjacent angles and are supplementary, sum to 180° , then

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Line a passed through points (-2,1) and (2,9). Which is parallel to line a?

Answers

Answer:

D

Step-by-step explanation:

Line A's slope: 9-1/2+2 = 8/4 = 2

y = 2x+b

y = 2x-5

If the slope of 2 lines are equal, then the lines are parallel.                    

Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If the equation One-third x + one-fourth x + x = 57models the scenario, how many books does Lindsay own?
12
18
36
48

Answers

Answer: 12

Step-by-step explanation:

Convert the following linear equations from slope form to standard form:

y=-3x+7

y = - 2/3x - 3/4

Answers

Answer:

3x+y=7

8x+12y=-9

Step-by-step explanation:

plz help me out. branliest whoever gets it right

Answers

Answer:

True!

Step-by-step explanation:

If an object travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality. The circumference of a circle is directly proportional to its diameter, with the constant of proportionality equal to π.

True hope I helped:)

Given the circumference of a circle is 8π centimeters, calculate the area of the circle in terms of π.

Answers

Answer:

16π cm²

Step-by-step explanation:

circumference = 2πr

Area = πr²

We need to determine r to calculate the area

2πr = 8π

Divide both sides of the equation by 2π to find r

r = 4

Now, we determine area.

area =  πr² =   π4² = 16πcm²

Answer:

[tex]\Large\boxed{\sf{16\pi\text{cm}^2}}[/tex]

Step-by-step explanation:

The formula for the circumference of a circle can be used to solve this problem.

[tex]\underline{\text{CIRCLE OF A CIRCUMFERENCE FORMULA:}}[/tex]

[tex]:\Longrightarrow: \sf{C=2\pi r}[/tex]

[tex]\text{AREA:}= \sf{\pi r^2}[/tex]

[tex]\sf{2\pi r=8 \pi}[/tex]

You have to divide by 2 from both sides.

[tex]\sf{\dfrac{2\pi r }{2}=\dfrac{8\pi}{2} }[/tex]

Solve.

Divde the numbers from left to right.

8/2=4

r=4

[tex]\sf{\pi r^2=\pi4^2}[/tex]

Solve by exponents.

[tex]\sf{4^2=4*4=\boxed{\sf{16}}[/tex]

[tex]\Longrightarrow: \boxed{\sf{16\pi \text{cm}^2}}[/tex]

Therefore, the correct answer is 16πcm².

I hope this helps. Let me know if you have any questions.

Two planes leave an airport at the same time. Each flies at a speed of 110 mph. One flies in the direction N 60° E. The other flies in the direction S 40^ E How far apart are the planes after 3 hours?

P.S. We are doing the law of sine

Answers

40^2 is how far apart the planes are after three hours travel

**IF ANYONE IS AN EXPERT IN MATH PLEASE HELP.**

i’ve figured out the answer to this problem but i have to check which i dont know how. Could anyone please help me on this? how do you check your answer?

Answers

To check you're answer just fill in 18.7 for h in the original problem.

(geomatry) Pleasee help I'll give brainest and thanks :)

Also please don't answer if you don't know!! Thanks in advance

Answers

Answer:

JML=142 degrees

Step-by-step explanation:

This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.

f(x)= (x-1)(x(x+1)+2x) find all rational zeros​

Answers

Answer:

x = 0, x = 1, x = - 3

Step-by-step explanation:

To find the zeros, let f(x) = 0 , that is

(x - 1)(x(x + 1) + 2x) = 0  ← distribute and simplify parenthesis

(x - 1)(x² + x + 2x) = 0

(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis

x(x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x - 1 = 0 ⇒ x = 1

x + 3 = 0 ⇒ x = - 3

A student is saving money to buy a DVD player. The student currently has $25 and plans to save $20 every month. Write a function that represents the amount y
(in dollars) of money that the student saves after x months.

y=

Answers

Answer:

y=25+20x

Step-by-step explanation:

b The value of 3 in 38.65 is 3 tens.true or false

Answers

yes that is true

hope that helped

!!PLEASE HELP ME!!
Which of the following is the product of the rational expressions shown below?

Answers

Answer:

(3x^2+6x)/(x^2-16)

Step-by-step explanation:

When multiplying fractions you just go straight accross

this means that our fraction is equal to

((x+2)(3x))/((x-4)(x+4))

The numerator is quite easy 3x(x+2)=3x^2+6x

The second one is a little tough at first and if you need help I would reccomend using khan academy

but pretty much you get x^2-16

put them together and get your answer

2+17x
i need help i can not find the answer

Answers

Answer:

this question is not factorable with rational number so either trick question and the answer is no solution or it is typed wrong

Step-by-step explanation:

How much more money is needed to make $10?
?
$5.95
$10

Answers

$4.05 is the answer I’m pretty sure

Al, Tom and Joe share €3000.
The ratio of the amount Al gets to the amount Tom gets is in the
ratio 5:4
Joe gets 1.5 times the amount Tom gets.
Work out the amount of money that Tom gets.

Answers

Answer:

Tom's share = €800

Step-by-step explanation:

Given that:

Amount shared by Al, Tom and Joe = €3000

Ratio of Al's share to Tom's share = 5 : 4

Joe's share = 1.5(Tom's share) = 1.5(4) = 6

Therefore,

Ratio of Al, Tom and Joe = 5 : 4 : 6

Let,

x be the number of times of amount each get.

5x + 4x + 6x = 3000

15x = 3000

Dividing both sides by 15

[tex]\frac{15x}{15}=\frac{3000}{15}\\x=200[/tex]

Tom's share = 4x = 4(200) = €800

Hence,

Tom's share = €800

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